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Finding the Third Proportional to 186,342 and 413,964

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Solution

The third proportional to 186,342 and 413,964 is: 919,632.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,342 : 413,964 = 413,964 : x
  2. Step 2: Convert to fraction form
    186,342/413,964 = 413,964/x
  3. Step 3: Cross multiply
    186,342x = 413,964 × 413,964
  4. Step 4: Simplify right side
    186,342x = 171,366,193,296
  5. Step 5: Solve for x
    x = 171,366,193,296/186,342
  6. Step 6: Final answer
    x = 919,632.68

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.